# How do you write 5,000 in scientific notation?

Jun 7, 2015

$5000 = 5 \times 1000$
in scientific notation 5000 can be written as color(red)(5xx10^3

Aug 8, 2018

$5 \cdot {10}^{3}$

#### Explanation:

The key realization is that when we write numbers in scientific notation, we want one digit before the decimal point.

In our case, we must loop it $3$ times to the left. The number of times we loop it is our exponent, and looping left makes it positive. Thus, we have

$5 \cdot {10}^{3}$

Hope this helps!